To "hold a lead" means to maintain a position of advantage or superiority over others in a competition or situation. It suggests staying in front or ahead of others in order to secure a victory or success. Full definition
Start by holding the lead in your left hand with the dog sat next to your left leg. (doggytoggery.com)
The European region held the leading position in the global market in 2015, and is expected to maintain its lead during the forecast period. (fb101.com)
Yet the Note 8 wouldn't hold the lead for long. (tomsguide.com)